DAT Quantitative Reasoning

Numbers
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Terms in this set (14)
Numbers
-Basic building blocks of mathematics
Integers
whole numbers can be positive or negative including 0
Prime Number
whole number greater then one that only has two factors example 1,2,3,5,7
Composite Numbers
whole number greater then one that has more then 2 different factors example 4,6,8,10
Decimal places
base of --#? why
example 0.234
2=tenth place 3= hundredths 4=thousandths
-10, because humans have 10 fingers
Rational Number
includes integers, decimals, fractions. Can have terminating or repeating decimals
Irrational Numbers
can not be written as a fraction or decimal because the decimal places are infinite. example pie
Real numbers
set of all rational and irrational numbers
Law of exponents
1) Any number raised to the power of 1 is equal to itself
2) The number 1 raised to any power is equal to 1
3) Any number raised to the power of 0 is equal to 1
4) Add exponents to multiply powers of the same base number
5) Subtract exponents to divide powers of the same number
6) Multiply exponents to raise a power to a power
7) If multiplied or divided numbers inside parentheses are raised to a power it is the same as each individual term raised to that power
perfect square roots (1-10)
1-4-9-16-25-36-49-64-81-100
Scientific notation going to the left? going to the right? the higher the exponent the larger or smaller it is?writing it in the shorter form -positive -negative -largerWhen adding signed number If they have the same sign---(-2)+(-2) If they have different sign----(-7)+(+3)----(+10)+(-2) When subtracting signed number ---- (+21)-(+13)-just add and keep the sign, -4 -subtract, keep the sign of the large number, -4, +8 change the sign of the number after the minus and follow the addition rules. (21)-(-13)= +8When multiplying signed numbers Always positive if signs are always negative if sign are if there are odd number of negative number sign if there is even number of positive number signs When dividing signed numbers same sign= opposite signs=-same +3 x +5=15, -2 x -3= +6 -opposite, -8 x +4= -32 -4 x+8=32 -negative -positive -positive -negativefraction with a denominator of 0 means=undefined